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13739520 = 29351789
BaseRepresentation
bin110100011010…
…011000000000
3221212001002010
4310122120000
512004131040
61210252520
7224532624
oct64323000
927761063
1013739520
117834783
124727140
132b009c2
141b79184
151315e80
hexd1a600

13739520 has 80 divisors (see below), whose sum is σ = 43948080. Its totient is φ = 3661824.

The previous prime is 13739513. The next prime is 13739521. The reversal of 13739520 is 2593731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13739521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6786 + ... + 8574.

It is an arithmetic number, because the mean of its divisors is an integer number (549351).

Almost surely, 213739520 is an apocalyptic number.

13739520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21974040).

13739520 is an abundant number, since it is smaller than the sum of its proper divisors (30208560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13739520 is an equidigital number, since it uses as much as digits as its factorization.

13739520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 13739520 is about 3706.6858512693. The cubic root of 13739520 is about 239.5101118314.

The spelling of 13739520 in words is "thirteen million, seven hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1789 1920 2560 3578 3840 5367 7156 7680 8945 10734 14312 17890 21468 26835 28624 35780 42936 53670 57248 71560 85872 107340 114496 143120 171744 214680 228992 286240 343488 429360 457984 572480 686976 858720 915968 1144960 1373952 1717440 2289920 2747904 3434880 4579840 6869760 13739520